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Finding the Third Proportional to 283,622 and 439,110

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Solution

The third proportional to 283,622 and 439,110 is: 679,840.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,622 : 439,110 = 439,110 : x
  2. Step 2: Convert to fraction form
    283,622/439,110 = 439,110/x
  3. Step 3: Cross multiply
    283,622x = 439,110 × 439,110
  4. Step 4: Simplify right side
    283,622x = 192,817,592,100
  5. Step 5: Solve for x
    x = 192,817,592,100/283,622
  6. Step 6: Final answer
    x = 679,840.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.